Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×D8×D13 |
| Fitting | C4×C13×D8 ⋊ C2 |
| Sylow | C13 ⋊ C2×C4×D8 |
616 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1331, #15772666, D13×#1333, … |
| maximal normal subgroup of | D13×#1331, #15772666, D13×#1333, … |
| maximal quotient of | C8×D8×D13, D13×#1581, D13×#1589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13257);